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Finding the Fourth Proportional to 12,178, 16,805.76 and 6,589.12

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Solution

The fourth proportional to 12,178, 16,805.76 and 6,589.12 is: 9,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178 : 16,805.76 = 6,589.12 : x
  2. Step 2: Convert to fraction form
    12,178/16,805.76 = 6,589.12/x
  3. Step 3: Cross multiply
    12,178x = 16,805.76 × 6,589.12
  4. Step 4: Simplify right side
    12,178x = 110,735,169.33
  5. Step 5: Solve for x
    x = 110,735,169.33/12,178
  6. Step 6: Final answer
    x = 9,093.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.